Write a function, countNegativeNodes(TreeNode* p), that returns the number of nodes in a binary tree that have negative numbers as their node value. Use RECURSION

Please complete Programming Exercise 4, from pages 1402, from chapter 19 from your textbook. Write a function, singleParent, that returns the number of nodes in abinary tree that have only one child. Add this function to the classbinaryTreeType and create a program to test this function. (Note: Firstcreate a binary search tree.)

Given a reference to a binary tree t. I am trying to write a python function using recursion that will check if an integer called k is stored in a leaf node in the tree. if not stored it should return false but if it is I want it to return True. starting function: def in_leaf(t,k):

Using the recursion tree method find the upper and lower bounds for the following recurrence (if they are the same, find the tight bound). T (n) = T (n/2) + 2T (n/3) + n.

You are implementing a binary search tree class from scratch, which, in additionto insert, find, and delete, has a method getRandomNode() which returns a random node from the tree. All nodes should be equally likely to be chosen. Design and implement an algorithm for getRandomNode, and explain how you would implement the rest of the methods

In the binary search tree, write a function that takes in a root, p, and checks whether the tree rooted in p is a binary search tree or not. What is the time complexity of your function? def is_bst(self, p: Node):

Rewrite the definition of the function searchNode of the class B-tree provided (bTree.h) by using a binary search. Write a C++ code to ask the user to enter a list of positive integers ending with -999, build a b- tree of order 5 using the positive integers, and display the tree contents. Also, ask the user to enter a number to search and display if the number is found in the tree. bTree.h